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In what ratio, rice costing Rs. 90 per kg be mixed with rice costing Rs. 63 per kg such that by selling the mixture at Rs. 86.25 per kg there is a gain of 15%?

In what ratio, rice costing Rs. 90 per kg be mixed with rice costing Rs. 63 per kg such that by selling the mixture at Rs. 86.25 per kg there is a gain of 15%? Correct Answer 4 : 5

Calculation:

SP of 1 kg rice = 86.25

CP of 1 kg rice = 86.25 × (100/115) = Rs. 75

Using allegation method

 

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⇒ 12 ∶ 15

⇒ Ratio of rice Rs. 90 to Rs. 63 = 12 ∶ 15 = 4 ∶ 5

∴ The required ratio is 4 ∶ 5.

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